Find the value of x.
71
O
(16x-2)
x=

x = 9

Step-by-step explanation:

m<K = 71°

arc JL = 16x - 2

m<k = ½(arc JL) => inscribed angles theorem

Substitute

71 = ½(16x - 2)

Multiply both sides by 2

71*2 = 16x - 2

142 = 16x - 2

Add 2 to both sides

142 + 2 = 16x - 2 + 2

144 = 16x

Divide both sides by 16

144/16 = 16x/16

9 = x

x = 9

24/56=hx^7

step-by-step explanation:

m∠cdf = 43° , m∠gdf = 114°, m∠gde = 23°, m∠edh = 23° , m∠cdh = 157°

step-by-step explanation:

since, it is given that de bisects the angle gdh ⇒ de divides the angle gdh into two equal angles.

⇒ m∠gde = m∠edh

⇒ 8·x   - 1 = 6·x + 5

⇒ x = 3

so, m∠gde = 8·x - 1 = 23°

and m∠edh = 23°

now, it is given ∠cde is an straight angle so, m∠cde = 180°

⇒ m∠cdf + m∠fdg + m∠gde = 180°

⇒ 43° + m∠fdg + 23° = 180°

⇒ m∠fdg = 114°

again, m∠cde = m∠cdh + m∠edh = 180°

m∠cdh + 23° = 180°

⇒ m∠cdh = 157°